Question

question
factor the expression completely.
xy + x⁴y⁵

Explanation:

Step1: Identify common factors

Find the greatest common factor (GCF) of the two terms \( xy \) and \( x^4y^5 \). For the \( x \)-terms, the lowest power of \( x \) is \( x^1 \) (from \( xy \)). For the \( y \)-terms, the lowest power of \( y \) is \( y^1 \) (from \( xy \)). So the GCF is \( xy \).

Step2: Factor out the GCF

Factor out \( xy \) from each term: \( xy(1 + x^{4 - 1}y^{5 - 1}) \). Simplify the exponents: \( xy(1 + x^3y^4) \).

Answer:

\( xy(1 + x^3y^4) \)